← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 768 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of all the whole numbers from 14 to 50? (a) 18 (b) 36 (c) 33 (d) 32
  2. 2.What is the average of 27, 38, 16 and 35? (a) 28 (b) 29 (c) 30 (d) 31
  3. 3.What is the average of 51, 56, 46, 60 and 32? (a) 49 (b) 48 (c) 51 (d) 50
  4. 4.What is the average of 66, 73, 48 and 65? (a) 64 (b) 63 (c) 84 (d) 62
  5. 5.What is the average of 64, 75, 80, 66, 57 and 72? (a) 69 (b) 70 (c) 68 (d) 71
  6. 6.What is the average of all the whole numbers from 53 to 65? (a) 6 (b) 59 (c) 12 (d) 60
  7. 7.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 31 (c) 12 (d) 37
  8. 8.What is the average of all the whole numbers from 5 to 21? (a) 13 (b) 16 (c) 8 (d) 14
  9. 9.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 107 (b) 48 (c) 75 (d) 67
  10. 10.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 42 (c) 74 (d) 102
  11. 11.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 31 (c) 16 (d) 19
  12. 12.What is the average of all the whole numbers from 8 to 40? (a) 16 (b) 32 (c) 24 (d) 25
  13. 13.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 4 (b) 51 (c) 95 (d) 48
  14. 14.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 32 (b) 30 (c) 17 (d) 45
  15. 15.What is the average of 67, 40, 49 and 52? (a) 54 (b) 53 (c) 52 (d) 51
  16. 16.What is the average of 57, 47, 70, 63, 53 and 58? (a) 58 (b) 57 (c) 60 (d) 59
  17. 17.What is the average of 61, 58, 65, 78, 72 and 86? (a) 71 (b) 69 (c) 70 (d) 84
  18. 18.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 36 (c) 24 (d) 56
  19. 19.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 68? (a) 68 (b) 80 (c) 76 (d) 140
  20. 20.What is the average of 58, 51, 66, 66, 47 and 72? (a) 72 (b) 61 (c) 59 (d) 60
  21. 21.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 93 (c) 39 (d) 40
  22. 22.What is the average of 59, 70, 52, 51, 63 and 53? (a) 57 (b) 60 (c) 59 (d) 58
  23. 23.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 75 (b) 54 (c) 24 (d) 57
  24. 24.What is the average of 56, 42, 42 and 88? (a) 57 (b) 76 (c) 56 (d) 58
  25. 25.What is the average of all the whole numbers from 21 to 47? (a) 13 (b) 35 (c) 26 (d) 34
  26. 26.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 30 (c) 66 (d) 46
  27. 27.What is the average of 80, 65, 81, 61 and 48? (a) 67 (b) 68 (c) 69 (d) 66
  28. 28.What is the average of all the whole numbers from 16 to 54? (a) 19 (b) 38 (c) 36 (d) 35
  29. 29.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 45 (b) 39 (c) 36 (d) 12
  30. 30.What is the average of 52, 31, 41, 52, 44 and 8? (a) 40 (b) 39 (c) 38 (d) 37
  31. 31.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 53 (c) 12 (d) 37
  32. 32.What is the average of all the whole numbers from 37 to 51? (a) 45 (b) 7 (c) 44 (d) 14
  33. 33.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 61 (c) 4 (d) 34
  34. 34.What is the average of 94, 82, 73 and 71? (a) 82 (b) 79 (c) 80 (d) 81
  35. 35.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 12 (c) 33 (d) 25
  36. 36.What is the average of 48, 59, 51, 72, 47 and 71? (a) 57 (b) 60 (c) 59 (d) 58
  37. 37.What is the average of 44, 25, 26, 37, 26 and 58? (a) 38 (b) 37 (c) 36 (d) 35
  38. 38.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 27 (c) 7 (d) 6
  39. 39.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 20 (c) 7 (d) 14
  40. 40.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 67 (b) 39 (c) 35 (d) 36

Answer key

  1. 32
  2. 29
  3. 49
  4. 63
  5. 69
  6. 59
  7. 37
  8. 13
  9. 107
  10. 102
  11. 31
  12. 24
  13. 51
  14. 45
  15. 52
  16. 58
  17. 70
  18. 56
  19. 140
  20. 60
  21. 39
  22. 58
  23. 75
  24. 57
  25. 34
  26. 66
  27. 67
  28. 35
  29. 45
  30. 38
  31. 37
  32. 44
  33. 34
  34. 80
  35. 33
  36. 58
  37. 36
  38. 6
  39. 20
  40. 67

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad